document.write( "Question 41914: solve\r
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document.write( "having problems with this\r
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document.write( "d(d-3)=40\r
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document.write( "show work \n" );
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Algebra.Com's Answer #27032 by tutorcecilia(2152) You can put this solution on YOUR website! d(d-3)=40 \n" ); document.write( "First, simply by using the distributive property: \n" ); document.write( "d^2 – 3d =40 \n" ); document.write( ". \n" ); document.write( "Since the highest degree is 2 (d^2) try to set it up as a quadratic polynomial. Set the entire equation equal to zero by subtracting 40 from both sides. \n" ); document.write( "d^2 – 3d - 40=0 \n" ); document.write( "Factor: \n" ); document.write( "(d+5)(d-8)=0 \n" ); document.write( "Set each factor equal to zero and solve for d: \n" ); document.write( "d+5= 0 \n" ); document.write( "d = -5 \n" ); document.write( ". \n" ); document.write( "d-8=0 \n" ); document.write( "d =8 \n" ); document.write( "The possible solution set is 3 and/or 8.\r \n" ); document.write( "\n" ); document.write( "Check each solution by plugging it back into the original problem: \n" ); document.write( "d(d-3)=40 \n" ); document.write( "-5(-5-3)=40 \n" ); document.write( "-5(-8)=40 \n" ); document.write( "40=40. \n" ); document.write( ". \n" ); document.write( "d(d-3)=40 \n" ); document.write( "8(8-3)=40 \n" ); document.write( "8(5)=40 \n" ); document.write( "40=40 \n" ); document.write( " \n" ); document.write( " |